1. The right-hand limit of f (x), as x approaches a, equals L written: if we can make the value f (x) arbitrarily close to L by taking x to be sufficiently close to the right of a. a L One-Sided Limits

2. The left-hand limit of f (x), as x approaches a, equals M written: if we can make the value f (x) arbitrarily close to L by taking x to be sufficiently close to the left of a. a M

3. Theorem Find -2-2 6 Note: f (-2) = 1

4. Examples 1.1. 2.2. 3.3.

5. 4.

6. 2.6 Continuous and discontinuous functions A function f is continuous at a point x = a if the following are true: a f(a)f(a)